Past Events

The sign test (Arbuthnott, 1710) and the Wilcoxon signed-rank test (Wilcoxon, 1945) are among the first examples of a nonparametric test. These procedures — based on signs, (absolute) ranks and signed-ranks — yield distribution-free tests for...

Consider a birth-death process started from one individual in which each individual gives birth at rate λ and dies at rate μ, so that the population size grows at rate r=λ−μ. Lambert (2018) and Harris, Johnston, and Roberts (2020) came up with...

Vertex operator algebras are the symmetry algebras of two dimensional conformal field theory. In a famous series of papers, Kazhdan and Lusztig proved an equivalence between particular semisimple categories of modules over affine Lie algebras and...

The growth, form, and division of membrane-bound vesicles and organelles is a unifying motif across biology. Membranes form the boundaries of the nucleus and cell, organelles such as mitochondria and endoplasmic reticulum, and vesicles used to...

Cubical sets with connections model (∞,1)-categories via the cubical Joyal model structure, constructed and shown to be equivalent to the Joyal model structure on simplicial sets by Doherty-Kapulkin-Lindsey-Sattler. In the same work, an analogous...

Fractional-step methods are a popular and powerful divide-and-conquer approach for the numerical solution of differential equations. When the integrators of the fractional steps (the sub-integrators) are Runge-Kutta methods, such methods can be...

There are several notions that are used to characterize algebraic varieties in terms of their similarity to a projective space. Two of these notions are rationality and unirationality. The problem of determining whether a variety is rational or...

Graphs having three distinct eigenvalues are a fundamental object of study in spectral graph theory. Strongly regular graphs are the most well-studied examples. In 1995, at the 15th British Combinatorial Conference, Willem Haemers asked do there...

Given a family R of rectangles in the plane, the packing number of R, denoted by $\nu$(R), is the maximum size of a set of pairwise disjoint rectangles in R, and the hitting number, denoted by $\tau$(R), is the minimum size of a set of points having...

The Riemann zeta function plays a central role in our understanding of the prime numbers. In this talk we will review some of its amazing properties as well as properties of other similar functions, the Dirichlet L-functions. We will then see how the...